Summary
We investigate the semi-classical stability of a fully conformal invariant theory with gravity around the meron solutions. Using a new definition of stability for merons, we find that stability depends on the cosmological constant. We also investigate the potential of the model in Minkowski domain with cosmological time background and draw physical consequences about the dynamics of the model.
Riassunto
Si studia la stabilità semiclassica di una teoria invariante pienamente conforme con gravità intorno alle soluzioni meroniche. Usando una nuova definizione di stabilità per i meroni, si trova che la stabilità dipende dalla costante cosmologica. Si studia anche il potenziale del modello nel dominio di Minkowski con sottofondo di tempo cosmologico e si delineano le conseguenze fisiche sulla dinamica del modello.
Реэюме
Мы исследуем полуклассическую устойчивость полностью конформно инвариантной теории с гравитацией вокруг меронных рещений. Испольэуя новое определение устойчивости для меронов, мы получаем, что устойчивость эависит от космологической постоянной. Мы также исследуем потенциал модели в области Минковского С космологическим временным фоном и выводим фиэические следствия, касаюшиеся динамики зтой модели.
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Literatur
For a review, seeR. Jackiw andP. Rossi:Phys. Rev. D,21, 426 (1980).
S. Coleman:Phys. Rev. D,15, 2929 (1977);S. Coleman andC. G. Callan:Phys. Rev. D,16, 1762 (1977).
D. J. Gross andM. J. Perry:Phys. Rev. D,25, 330 (1982).
L. F. Abbott andS. Deser:Nucl. Phys. B,195, 76 (1982).
E. Witten: Princeton preprint (1982).
K. G. Akdeniz, A. Hacinliyan andJ. Kalayci:Phys. Lett. B,125, 291 (1983).
P. Breitenlohner andD. Z. Freedman:Phys. Lett. B,115, 197 (1982);Ann. Phys. (N. Y.),144, 249 (1982);D. Z. Freedman andG. W. Gibons:Nucl. Phys. B,233, 24 (1984).
E. Witten:Commun. Math. Phys.,80, 381 (1981).
V. De Alfaro, S. Fubini andG. Furlan:Nuovo Cimento A,50, 523 (1979);Nuovo Cimento B,57, 227 (1980);Phys. Lett. B,97, 67 (1980).
K. G. Akdeniz andO. Oğuz:Lett. Nuovo Cimento,28, 343 (1980).
V. De Alfaro, S. Fubini andG. Furlan:Phys. Lett. B,65, 163 (1976).
M. Arik andP. G. Williams:Z. Phys. C,3, 377 (1980).
C. G. Callan, R. Dashen andD. J. Gross:Phys. Rev. D,17, 2717 (1978).
E. Abdalla:Phys. Rev. D,21, 2365 (1980).
K. G. Akdeniz andM. Hortaçsu:Phys. Lett. B,114, 254 (1982).
K. G. Akdeniz, A. Hacinliyan andJ. Kalayci:Phys. Lett. B,145, 49 (1984).
S. Coleman andF. De Luccia:Phys. Rev. D,21, 3305 (1980).
G. W. Gibbons, C. M. Hull andN. P. Warner:Nucl. Phys. B,218, 173 (1983).
K. G. Akdeniz, A. Hacinliyan andJ. Kalayci: to be published.
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This work is partially supported by TBTAK, the Scientific and Technical Research Council of Turkey.
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Akdeniz, K.G., Hacinliyan, A. & Kalayci, J. Dynamics of conformal gravity with merons. Nuov Cim A 90, 98–110 (1985). https://doi.org/10.1007/BF02734951
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DOI: https://doi.org/10.1007/BF02734951